Question

17
The zeroes of the polynomial-3x - m (m + 3) are

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Answer 1

Answer:

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Answer 2

Answer:

–m and +3.

Step-by-step explanation:

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 f(x) = x2 – 3x – m (m + 3)  

By adding and subtracting mx, we get

f(x) = x2 – mx – 3x + mx – m (m + 3)

= x[x – (m + 3)] + m[x – (m + 3)]

= [x – (m + 3)] (x + m)  f(x) = 0

⇒ [x – (m + 3)] (x + m) = 0

⇒ [x – (m + 3)] = 0 or (x + m) = 0

⇒ x = m + 3 or x = –m  

So, the zeroes of f(x) are –m and +3.

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